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Finding the Fourth Proportional to 78,084.58, 107,757.57 and 42,275.35

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Solution

The fourth proportional to 78,084.58, 107,757.57 and 42,275.35 is: 58,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,084.58 : 107,757.57 = 42,275.35 : x
  2. Step 2: Convert to fraction form
    78,084.58/107,757.57 = 42,275.35/x
  3. Step 3: Cross multiply
    78,084.58x = 107,757.57 × 42,275.35
  4. Step 4: Simplify right side
    78,084.58x = 4,555,488,986.90
  5. Step 5: Solve for x
    x = 4,555,488,986.90/78,084.58
  6. Step 6: Final answer
    x = 58,340.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.